When rolling a pair of fair dice the probability of rolling

When rolling a pair of fair dice, the probability of rolling a total point value of \"7\" is 0.17. If you rolled a pair of dice 1,000 times and the point value of \"7\" appeared 723 times, what would you probably conclude?

A. This is not so unlikely as to make you doubt the fairness of the dice

B. Although not impossible, this outcome is so unlikely that the fairness of these dice is questionable

C. since the total point value of \"7\" has the highest probability of any event in the sampling distribution, this is an extremely likely outcome

D. it is impossible for this to happen if the dice are fair

Solution

B. Although not impossible, this outcome is so unlikely that the fairness of these dice is questionable.

Although in reality, D is not too far off,
Rolling 7 on a 1000 roll sample would usually be happen around 167. This would change from sample to sample, but would rarely deviate too far. The odds of rolling more or less would fall on a normal distribution. You can determine the odds by finding the standard deviation =167/sqrt 1000= 5.28. z= (723-167)/5.28=105.3. That Z score is so large that the you can not even use a standard table to determine the odds. Needless to say you probably have a better chance of winning the lottery.